Precalculus Examples

$\log (\frac{1}{3}) \cdot 729$

Step 1

Multiply $\log (\frac{1}{3}) \cdot 729$ .

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Step 1.1

Reorder $\log (\frac{1}{3})$ and $729$ .

$729 \cdot \log (\frac{1}{3})$

Step 1.2

Simplify $729 \cdot \log (\frac{1}{3})$ by moving $729$ inside the logarithm.

$\log ({(\frac{1}{3})}^{729})$

Step 2

Apply the product rule to $\frac{1}{3}$ .

$\log (\frac{1^{729}}{3^{729}})$

Step 3

One to any power is one.

$\log (\frac{1}{3^{729}})$